A recent report from the Postal Rate Commission Office of the Consumer Advocate concluded that 33% of three-day Priority mail was not delivered by the end of the third day. Suppose an impartial inspector checks the on-time delivery of a random sample of Priority packages at the time of the report A. If the inspector randomly checks ten packages, what is the probability that at least one package did not arrive on time (by the end of the third day)?

B. What is the probability that the first Priority package delivered on time is the fourth package checked?

C. What is the expected number of packages that need to be checked to find the first that doesn’t arrive on time?

D. What is the expected number of packages that need to be checked to find the first that does arrive on time?